Arithmetic Aptitude for Competitive Exam Success

Arithmetic Aptitude

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Q. If $1200 is invested at a compound interest rate of 10% per annum, what will be the total amount after 3 years?

A. $1593.00
B. $1500.00
C. $1600.00
D. $1700.00

Solution

Total Amount = 1200(1 + 0.10)^3 = 1200(1.331) = 1597.20

Correct Answer: A — $1593.00

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Q. If $1500 is invested at a compound interest rate of 4% per annum, how much will it amount to after 2 years?

A. $1624.00
B. $1560.00
C. $1500.00
D. $1584.00

Solution

Amount = P(1 + r/n)^(nt) = 1500(1 + 0.04/1)^(1*2) = 1500(1.0816) = 1624.00

Correct Answer: A — $1624.00

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Q. If $1500 is invested at a compound interest rate of 4% per annum, what will be the total amount after 2 years?

A. $1624.00
B. $1560.00
C. $1500.00
D. $1584.00

Solution

Total Amount = P(1 + r/n)^(nt) = 1500(1 + 0.04/1)^(1*2) = 1500(1.0816) = 1624.00

Correct Answer: A — $1624.00

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Q. If $1500 is invested at an interest rate of 4% compounded annually, what will be the total amount after 5 years?

A. $1800.00
B. $1820.00
C. $1833.00
D. $1850.00

Solution

Total Amount = P(1 + r/n)^(nt) = 1500(1 + 0.04/1)^(1*5) = 1500(1.2166529) = 1824.98

Correct Answer: C — $1833.00

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Q. If $2000 is invested at a compound interest rate of 6% per annum, what will be the total amount after 3 years?

A. $2380.00
B. $2260.00
C. $2120.00
D. $2400.00

Solution

Amount = P(1 + r)^n = 2000(1 + 0.06)^3 = 2000(1.191016) = $2380.03

Correct Answer: A — $2380.00

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Q. If $2500 is invested at a compound interest rate of 8% per annum, what will be the total amount after 3 years?

A. $2975.00
B. $3000.00
C. $2800.00
D. $2900.00

Solution

Amount = P(1 + r/n)^(nt) = 2500(1 + 0.08/1)^(1*3) = 2500(1.259712) = 2975.00

Correct Answer: A — $2975.00

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Q. If $5000 is invested at a compound interest rate of 4% per annum, what will be the total amount after 10 years?

A. $7400
B. $7405
C. $6000
D. $6005

Solution

Amount = P(1 + r)^n = 5000(1 + 0.04)^10 = 5000(1.48024) = $7401.20.

Correct Answer: A — $7400

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Q. If $8000 is invested at a compound interest rate of 3% per annum, what will be the amount after 4 years?

A. $9000.00
B. $9009.12
C. $8500.00
D. $8509.12

Solution

Total Amount = 8000(1 + 0.03)^4 = 8000(1.12550881) = 9009.12

Correct Answer: B — $9009.12

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Q. If 0.4 is expressed as a fraction, what is it?

A. 2/5
B. 1/4
C. 3/5
D. 1/2

Solution

0.4 = 4/10 = 2/5 after simplification.

Correct Answer: A — 2/5

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Q. If 15% of a mixture is water and the rest is milk, what is the ratio of milk to water in the mixture?

A. 5:1
B. 6:1
C. 7:1
D. 8:1

Solution

Water = 15%, Milk = 100% - 15% = 85%. Ratio of milk to water = 85:15 = 17:3 = 6:1.

Correct Answer: B — 6:1

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Q. If 15% of a number is 45, what is the number?

A. 250
B. 300
C. 350
D. 400

Solution

Let the number be x. Then, 0.15x = 45. Therefore, x = 45/0.15 = 300.

Correct Answer: B — 300

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Q. If 20 liters of a mixture contains 60% alcohol, how much alcohol is in the mixture?

A. 8 liters
B. 10 liters
C. 12 liters
D. 15 liters

Solution

Alcohol = 60% of 20 liters = 0.6 * 20 = 12 liters.

Correct Answer: B — 10 liters

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Q. If 20% of a number is 50, what is the number?

A. 200
B. 250
C. 300
D. 400

Solution

Let the number be x. Then, 0.2x = 50. Therefore, x = 50 / 0.2 = 250.

Correct Answer: A — 200

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Q. If 30% of a number is 150, what is the number?

A. 400
B. 450
C. 500
D. 600

Solution

Let the number be x. Then, 0.3x = 150. Therefore, x = 150 / 0.3 = 500.

Correct Answer: B — 450

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Q. If 3x + 5 = 20, what is the value of x?

A. 3
B. 5
C. 7
D. 10

Solution

To solve for x, subtract 5 from both sides: 3x = 15. Then divide by 3: x = 5.

Correct Answer: A — 3

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Q. If 40% of a number is 80, what is the number?

A. 150
B. 200
C. 250
D. 300

Solution

Let the number be x. Then, 0.4x = 80. So, x = 80 / 0.4 = 200.

Correct Answer: B — 200

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Q. If 45% of a number is 90, what is the number?

A. 150
B. 200
C. 250
D. 300

Solution

Let the number be x. 0.45x = 90, x = 90/0.45 = 200

Correct Answer: B — 200

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Q. If 5 workers can complete a task in 20 days, how many days will it take for 10 workers to complete the same task?

A. 10 days
B. 15 days
C. 20 days
D. 25 days

Solution

Work done is inversely proportional to the number of workers. If 5 workers take 20 days, then 10 workers will take 20/2 = 10 days.

Correct Answer: A — 10 days

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Q. If 5x + 3 = 23, what is the value of x?

A. 2
B. 3
C. 4
D. 5

Solution

To solve for x, subtract 3 from both sides: 5x = 20. Then divide by 5: x = 4.

Correct Answer: B — 3

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Q. If 60% of a number is 120, what is the number?

A. 150
B. 180
C. 200
D. 250

Solution

Let the number be x. 0.6x = 120, x = 120/0.6 = 200

Correct Answer: C — 200

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Q. If 60% of a number is 240, what is the number?

A. 360
B. 400
C. 420
D. 480

Solution

Let the number be x. Then, 0.6x = 240. Therefore, x = 240/0.6 = 400.

Correct Answer: B — 400

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Q. If a 12-meter tall pole casts a shadow of 8 meters, what is the angle of elevation of the sun?

A. 36.87 degrees
B. 45 degrees
C. 53.13 degrees
D. 60 degrees

Solution

tan(θ) = height / shadow = 12 / 8 = 1.5; θ = tan^(-1)(1.5) ≈ 56.31 degrees

Correct Answer: C — 53.13 degrees

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Q. If A and B invest in a business in the ratio 4:5 and the total profit is $4500, how much does A receive?

A. $2000
B. $2500
C. $1800
D. $2200

Solution

Total parts = 4 + 5 = 9. A's share = (4/9) * 4500 = $2000.

Correct Answer: A — $2000

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Q. If A and B invest in a business in the ratio of 4:5 and the total profit is $4500, how much does A receive?

A. $2000
B. $2500
C. $1800
D. $2200

Solution

Total parts = 4 + 5 = 9. A's share = (4/9) * 4500 = $2000.

Correct Answer: A — $2000

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Q. If a bag contains 2 white, 3 black, and 5 blue balls, what is the probability of drawing a blue ball?

A. 1/5
B. 1/3
C. 1/2
D. 1/4

Solution

The total number of balls is 2 + 3 + 5 = 10. The probability of drawing a blue ball is 5/10 = 1/2.

Correct Answer: C — 1/2

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Q. If a bag contains 2 white, 3 black, and 5 red balls, what is the probability of drawing a white ball?

A. 1/5
B. 1/4
C. 1/2
D. 1/10

Solution

The total number of balls is 2 + 3 + 5 = 10. The probability of drawing a white ball is 2/10 = 1/5.

Correct Answer: B — 1/4

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Q. If a bag contains 4 apples and 6 oranges, what is the probability of randomly selecting an orange?

A. 2/5
B. 3/5
C. 4/5
D. 1/5

Solution

The total number of fruits is 4 + 6 = 10. The probability of selecting an orange is 6/10 = 3/5.

Correct Answer: B — 3/5

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Q. If a bag contains 4 apples and 6 oranges, what is the probability of randomly selecting an apple?

A. 2/5
B. 4/10
C. 1/3
D. 1/2

Solution

The total number of fruits is 4 + 6 = 10. The probability of selecting an apple is 4/10 = 2/5.

Correct Answer: A — 2/5

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Q. If a bag contains 4 red, 3 blue, and 5 green balls, what is the probability of drawing a green ball?

A. 1/3
B. 1/4
C. 5/12
D. 5/10

Solution

Total balls = 4 + 3 + 5 = 12. Probability of green ball = 5/12.

Correct Answer: C — 5/12

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Q. If a bag contains 4 red, 3 green, and 5 blue marbles, what is the probability of drawing a blue marble?

A. 1/3
B. 1/4
C. 5/12
D. 5/10

Solution

Total marbles = 4 + 3 + 5 = 12. Probability of blue marble = 5/12.

Correct Answer: C — 5/12

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Arithmetic Aptitude

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